Show, in the continuous case, that the S-optimal 100(1- a)% credible set is given by (4.12), providing that    has measure (or size) zero. The waiting time for a bus at a given corner at a certain...

Show, in the continuous case, that the S-optimal 100(1- a)% credible set is given by (4.12), providing that
  has measure (or size) zero.

The waiting time for a bus at a given corner at a certain time of day is known to have a au (0, 6) distribution. It is desired to test
  15. From other similar routes, it is known that 6 has a 9la(5, 3) distribution. If waiting times of 10, 3, 2, 5, and 14 are observed at the given corner, calculate the posterior probability of each hypothesis, the posterior odds ratio, and the Bayes factor.